What is the solution of…

What Is The Solution Of

Answers

Answer 1

Answer:

x/2>5

x>5*2

x>10.....equation 1

3x≥9

x≥9/3

x≥3.....equation 2

so by combining of the two equation we get

x>10 because it is the intersection of the. . two equations.

The answer will the Third


Related Questions

For the equation y = -2/5 x + 2, explain what x -values would be best to choose for making a table of ordered pairs. Be sure to explain why.

Answers

The x values to make a suitable ordered pair must be a multiple of 5

How to determine the best x values?

The function is given as:

y = -2/5x + 2

The slope of the above equation is:

m = -2/5

The above is a fraction with a denominator of 5.

So, the x values to make a suitable ordered pair must also be a multiple of 5

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Can you please find x?

Answers

Answer:

x=7

Step-by-step explanation:

The angle of a straight line is 180 degrees, so let's just say the other angle to the right of 15x+34 is "a" that means that 15x + 34 + A = 180, and since the sum of interior angles of a triangle is 180 degrees, that means that 29 + A + 12x + 26 = 180, and we can define A using this equation in terms of x.

Original equation (sum of interior angles)

A + 29 + 12x + 26 = 180

Combine like terms

A + 12x + 55 = 180

Subtract 12x and 55 from both sides

A = -12x + 125

Original equation (since a line is 180 degrees)

15x + 34 + A = 180

Substitute -12x + 125 as A

15x + 34 + (-12x + 125) = 180

Combine like terms

3x + 159 = 180

Subtract 159 from both sides

3x = 21

Divide both sides by 3

x = 7

The new video came console was priced at $400 when it was released last year. This year, the price decreased by 15% during the holiday sale period. The game manufacturer recently announced that the same console will be re-release with new updates and expanded functionality. The retail price will be 25%greater then the previous sale price . When the game concise is re-released whatcwill be the retail price?
A) 360
B)425
C)380
D415

Answers

Answer:

B

Step-by-step explanation:

15% off means 85 % of original price

400 * .85        now increase this price by 25%

400* .85   *  1.25    = $425

Determine if the set (x1,x2)+(y1,y2)=(x1-x2, y1+y2) is a vector space

Answers

The set  (x1,x2)+(y1,y2)=(x1-x2, y1+y2) is not a vector space.

A set is a vector space if it satisfy all the addition operation axiom and scalar multiplication axiom.

Addition operation:

Commutativity -

(x1, x2) + (y1, y2) equals  (x1 - x2,  y1 + y2) equals  (y1, y2) + (x1, x2)

Associativity -

(x1, x2) plus ((y1, y2) plus (z1, z2)) = (x1, x2) + (z1 + y1, z2 + y2) = (x1+ y1 + z1, x2 + y2 + z2) =

((x1, x2)   + (y1, y2)) + (z1, z2)

Zero element -

(0, 0)  → (x1, x2) + (0, 0) = (x1, x2)

Inverse element -

(x1, x2)  adding (-x1, -x2) = (0, 0)

Scalar multiplication:

Compatibility -

a(b (x, y)) = a(bx, 0) = (abx, 0) = b(ax, 0) = b(a(x, y))

Identity element -

1(x, y) = (x, 0) ≠ (x, y)     [Identity element doesn’t exist for this operation.)

Distributivity law -

a((x1, x2) + (y1, y2)) = a(x1 + y1, x2 + y2) = (a(x1 + y1), 0) = a(x1, x2) + a(y1, y2)

Distributivity law -

(a + b)(x, y) = ((a + b)x, 0) = (ax, 0) + (bx, 0) = a(x, y) + b(x, y)

The scalar multiplication postulate is not fulfilled in this space (this operation does not have the identity element). It is therefore not a vector space.

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PLEASE HELP!!!
Review the table of values for function k(x).

x

k(x)

–19.1

37.5

–19.01

37.95

–19.001

37.995

–19.0001

37.9995

–19

undefined

–18.9999

43.9995

–18.999

43.995

–18.99

43.95

–18.9

43.5

What is Limit as x approaches negative 19 plusk(x)?

37.5
38
43.5
44

Answers

44.


The closer it gets to -19, the closer the number goes to 44. It never hits it exactly though, but based off the trend (43.95, 43.995, 43.9995) we can tell that it gets closer to 44 each time.


Hope this helps! (:

PLS HELP ITS DUE IN 9 MIN AND IM CONFUSED AND I DON’T WHAT TO DO ANSWER ASAP ILL GIVE BRAINIESTTTTT

A financial planner has three portfolios: A, B, and C. Because investors have different tolerances for risks, 20% of people are likely to invest in portfolio A, 30% are likely to invest in B, and 50% are likely to invest in C. Each portfolio has both stocks and bonds, and investors are equally likely to choose either.

This is a tree diagram that represents the probability of investors choosing the different financial products.

What is the probability of an investor choosing either stocks or bonds from portfolio C?

Answers

Considering the given tree diagram, there is a 0.5 = 50% probability of an investor choosing either stocks or bonds from portfolio C.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

At each node, the sum of the probabilities is of 1, hence:

0.2 + 0.3 + Z = 1.

Z = 0.5.

There is a 0.5 = 50% probability of an investor choosing either stocks or bonds from portfolio C.

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A store sells about 30 pants each week for Nu 800 each. The owner expects to lose one sale each week for every increase in price of Nu 40.
a) Write an expression to represent the
i) new price of a pant after n Nu 40 price increases.
ii) expected number of pants that will be sold weekly after n price increases. b) Write a function to represent the expected weekly sales as a function of the number of price increases of Nu 40. c) Use the function to determine the price that will maximize totally sales.​

Answers

The new price after the price increase of Nu 40 will be Nu 840.

How to calculate the price?

The price of a pant after n Nu 40 price increases will be:

= 800 + 40

= 840

The expected weekly sales as a function of the number of price increases will be:

= n - 1) × 800

= (30 - 1) × 800

= 29 × 800

= 23200

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Given Circle G with radius r, what is the formula for the area of the segment (unshaded region)

Answers

Answer:

Option D

Step-by-step explanation:

The triangle ABJ is equitorial

So area

√3/4r²

Then mBJ is a arc which is 1/6th of circle

Area.

π/6r²

So area of unshaded region

πr²/6-√3/4r²r²(π/6-√3/4)

Answer:

[tex]\textsf{d.} \quad r^2\left(\dfrac{\pi}{6}- \dfrac{\sqrt{3}}{4}\right)[/tex]

Step-by-step explanation:

To find the area of the unshaded region, subtract the area of ΔJGB from the area of sector JGB.

The measure of an arc is equal to its corresponding central angle measure.  Therefore, the central angle of sector JGB is 60°.

As the two sides of ΔJGB adjacent the central angle are the radii of the circle (and therefore equal in length), ∠GJB = ∠GBJ.  

Interior angles of a triangle sum to 180°.  Therefore, all interior angles of ΔJGB are 60° which makes it an equilateral triangle.

Area of an equilateral triangle:

[tex]\sf A=\dfrac{\sqrt{3}}{4}a^2 \quad \textsf{(where a is the side length)}[/tex]

As the side length of the given equilateral triangle is the radius (r):

[tex]\implies \sf Area\:of\:triangle=\dfrac{\sqrt{3}}{4}r^2[/tex]

To find the area of the sector, first convert degrees to radians by multiplying the degrees by π/180 :

[tex]\implies 60^{\circ}=60 \times \dfrac{ \pi}{180}=\dfrac{\pi}{3}\:\:\sf radians[/tex]

Area of a sector of a circle

[tex]\textsf{A}=\dfrac12 r^2 \theta \quad \textsf{(where r is the radius and the angle }\theta \textsf{ is in radians)}[/tex]

Substituting the angle in radians, the area of the sector is:

[tex]\implies \sf A=\dfrac{1}{2}r^2\left(\dfrac{\pi}{3}\right)[/tex]

[tex]\implies \sf A=\dfrac{\pi}6}r^2[/tex]

Area of the unshaded region:

[tex]\begin{aligned}\textsf{Area of unshaded region} & =\textsf{Area of sector} - \textsf{Area of triangle}\\\\& = \dfrac{\pi}{6}r^2 - \dfrac{\sqrt{3}}{4}r^2\\\\& = r^2\left(\dfrac{\pi}{6}- \dfrac{\sqrt{3}}{4}\right)\end{aligned}[/tex]

Therefore, the solution is option D.

For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1? f (x) = startfraction 2 x superscript m baseline over x a endfraction

Answers

Using the concept of vertical and horizontal asymptotes, it is found that the function will have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1 for a = -1 and m = 1.

What are the asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

[tex]f(x) = \frac{2x^m}{x + a}[/tex]

It has a vertical asymptote at x = 1, hence:

x + a = 0

1 + a = 0

a = -1

It has a horizontal asymptote at y = 2, hence:

[tex]\lim_{x \rightarrow \infty} f(x) = 2[/tex]

[tex]\lim_{x \rightarrow \infty} \frac{2x^m}{x + a} = 2[/tex]

[tex]\lim_{x \rightarrow \infty} \frac{2x^m}{x} = 2[/tex]

[tex]2^{m-1} = 2[/tex]

Then, since we want to simplify, the exponents at the numerator and the denominator have to be equal, hence m = 1.

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The power of the algebraic expression
7xy + 3xy² - x³y² + 4 is

Answers

The power of the algebraic expression 7xy + 3xy² - x³y² + 4 is  1.

How to estimate the power of algebraic expression?

An expression that denotes repeated multiplication of the exact factor exists named a power. The number 5 stands named the base, and the number 2 exists named the exponent. The exponent equals the number of times the base exists utilized as a factor.

Given: 7xy + 3xy² - x³y² + 4

An expression that represents repeated multiplication of the same factor is called a power.

So, the power of the given expression will be 1.

Therefore, the correct answer is 1.

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Henry walked on a flat field 9 meters due north from a tree. He then turned due east and walked 24 feet. He then turned due south and walked 9 meters plus 32 feet. How many feet away from his original starting point is Henry

Answers

Henry was 40 feet away from his original starting point. Using Pythagorean's theorem it is calculated.

What is the Pythagorean theorem?

The theorem says that,

In a right-angled triangle, the sum of squares of the lengths of two arms (opposite and adjacent sides) is equal to the square of the hypotenuse.

I.e, Consider a right-angled triangle ΔABC, where AC is the hypotenuse side of the triangle. So, according to the theory,

AC² = AB² + BC²

Calculation:

It is given that,

Henry walked on a flat field,

9 meters - towards the north

24 feet - towards the east

9 meters + 32 feet - towards the south

This can be shown in the diagram below.

In the diagram, the distance from the starting point is X, and the last point is  S.

To find the distance between these two points, a line is joined as shown in the diagram. Thus, it is formed as a right-angled triangle.

So, according to the Pythagorean theorem,

XS² = (24)² + (32)²

(here 32 feet is the only distance from the assumed point to the endpoint)

⇒ XS² = 1600 = 40²

XS = 40 feet

So, Henry is 40 feet away from the original starting point.

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Can the sides of a triangle have lengths 2, 4, and 7?

Answers

Yes. It would be a scalene triangle.

However, a right triangle cannot have those lengths (because if we inputted the values into the Pythagorean Theorem, it wouldn’t be a true equation).


Hope this helps! (:

Answer:

No, they can't

Step-by-step explanation:

According to the Triangle Inequality Theorem, the largest side cannot be greater than the sum of the other two sides.

2+4= 6<7

As you can see from this Equation NOT any two side are greater than the third making this NOT possibly be a tringle.

2+7=9>4

4+7=11>2

Help me please, I'm stuck

Answers

Answer:

Gradient: 5

y-intercept: (0, 15)

Step-by-step explanation:

The gradient is usually just the same as the slope, so if we write the equation in slope-intercept form, y = 5x+15, the coefficient of x value (5) is the slope. The y-intercept is when x equals 0. Plug that in to get y = 15.

.
Which equation represents a circle with a center (-5, -6) and a radius of 5?

Answers

The equation of the circle with a center (-5, -6) and a radius of 5 is (x + 5)² + (y + 6)² = 25.

How to Write the Equation of a Circle?

The standard equation for writing the equation of a circle is: (x - h)² + (y - k)² = r².

Given the following:

Center (-5, -6) = (h, k)

Radius = 5 = r

Plug in the values into the formula

(x + 5)² + (y + 6)² = 5²

(x + 5)² + (y + 6)² = 25

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Which ordered pair is a solution to the equation 2x − 3y = 1?

Answers

The ordered pair that is a solution to the equation 2x − 3y = 1 is; (2, 1)

How to find the solution that is an ordered pair?

We are given the equation;

2x - 3y = 1

Now, the ordered pair that is a solution simply means the least whole numbers for x and y that will make the equation valid.

Now, since the coefficient before x is bigger than the coefficient before y which is negative, then it means x must be larger than y. Thus, let us try x = 2 and y = 1 to get;

2(2) - 3(1) = 1

This makes the equation valid.

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A spherical ball of wax with a radius of 8 inches is melted and poured into a container shaped like a rectangular prism with a 14 inch x 16 inch base. What is the height of the melted wax in the new shape

Answers

It is expected the height of the melted wax in this shape is 9.57 inches, this height would make the volume remain constant.

What is the volume of the spherical ball?

The volume of a sphere can be calculated using the formula V = 4/3 πr³. Let's use this formula to calculate the volume of the spherical ball of wax:

V = 4/3 π8³ V = 4/3 π 512V= 4/3 x 3.1416 x 512 V =2144.66 cubic inches

What is the height of the new shape?

Considering the volume should be the same  (2144.66 cubic inches) and the volume of this shape can be calculated by multiplying the sides, this would be the equation:

2144.66 = 14 x 16 x y ( unknown value)y= 2144.66 / 14 x 16y = 9.57

This means the height would be 9.57 inches.

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how do u multiply 1x100000000000000000000000000000??

Answers

By using mind ig -,-

Hope Helpful ~

Answer:

by using 1 to multiply the first digit that is, ‘1’ and repeating the rest of the zeros, so it will be 1 x 1 = 1. So, since the answer we got from multiplying the first digit is ‘1’ , then you’ll repeat the zeros after the answer we got from the multiplication.

So, therefore the answer will be; 100,000,000,000,000,000,000,000,000,000 .

The lifespan of a car battery averages 5 years. Suppose the battery lifespan follows an exponential distribution. What is the probability that the battery lasts more than 3 years

Answers

The probability that battery lasts more than 3 years is [tex]e^{-0.6 }[/tex].

Parameter of Exponential Distribution

It is given that the average lifespan of the car battery = 5 years

⇒ μ = 5

And, we have to find the probability that the car battery lasts more than 3 years.

Now, the relation between the parameter of exponential distribution, λ and average, μ is given as,

1/ λ = μ

⇒ λ = 1/5

Calculating the Probability

The probability for the car battery to lasts more than 3 years is given by P(N>3). Here, N is the lifespan of the car battery.

P(N>3) = 1 - P(N≤3)

P(N>3) = 1-F(4)

Here, F is the exponential distribution  for the lifespan of the car battery.

P(N>3) = 1-(1-e^(-λn))

P(N>3) = [tex]e^{-3/5}[/tex]

Thus, the required probability is,

P(N>3) = [tex]e^{-0.6 }[/tex]

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can someone please help mee (will give brainliest 20 points!!!)

Answers

Answer:

a.) C(x) = 10x + 8,000

Step-by-step explanation:

The fixed cost does not change regardless of the variable. Therefore, it should be attached to no variable. However, the variable cost does depend on the number of alarms and thus should be attached to the variable.

This makes the algebraic expression:

C(x) = 10x + 8,000

Your graph should look very similar to this. Keep in mind that our axis are slightly different. You can plot specific points on your graph by plugging random "x" values into your algebraic expression and finding the subsequent "y" values.

To model some data Gwyn ran an exponential regression and found the regression equation to be y = 6.72 x 0.996x

Answers

Answer:

y=6.72x^0.996x

Step-by-step explanation:

A radioactive substance decays exponentially. A scientist begins with 110 milligrams of a radioactive substance. After 20 hours, 55 mg of the substance remains. How many milligrams will remain after 26 hours

Answers

Answer:

  44.7 mg

Step-by-step explanation:

The equation for exponential decay can be written in the form ...

  y = a·b^(t/p)

where 'a' is the initial value, 'b' is the decay factor, 'p' is the period over which the decay factor is applicable, and t is time in the same units as p.

Setup

Using the above equation, we have ...

  a = initial value = 110 mg

  b = decay factor = 55/110 = 1/2 over time period p=20 hours

Then the equation is ...

  y = 110·(1/2)^(t/20) . . . . amount remaining after t hours

Solution

We want the amount remaining after 26 hours. That will be ...

  y = 110·(1/2)^(26/20) ≈ 44.67

About 44.7 milligrams will remain after 26 hours.

The relationship between distance travelled, d, and time, t, can be represented by a linear relation. In 56 minutes, a person
runs 6 miles. In 104 minutes, the same person runs 10 miles. An equation that represents this linear relation is?

Answers

Answer:

[tex]d=\frac{t}{12}+\frac{4}{3}[/tex]

Step-by-step explanation:

The average rate of change is (10-6)/(104-56) = 1/12.

So, the equation is of the form d = t/12 + c for some constant c.

Substituting in d=6 and t=56 gives that c=4/3.

So, the equation is

[tex]d=\frac{t}{12}+\frac{4}{3}[/tex]

El triángulo ABC es equilátero y L, M y N son los puntos medios de BC, AB y CA respectivamente. Si MN = 3, ¿cuál es el valor de ML?

Answers

The value of ML = 3, using the mid-point theorem of triangles.

According to the midpoint theorem, "the line segment of a triangle crossing the midpoints of two sides of the triangle is said to be parallel to its third side and also half the length of the third side."

In the question, we are given that triangle ABC is an equilateral triangle, and L, M, and N are the midpoints of BC, AB, and CA respectively.

Thus, by the midpoint theorem, we can say that:

MN || BC, and MN = (1/2)BC,ML || AC, and ML = (1/2)AC, andNL || AB, and NL = (1/2)AB.

Assuming AB = BC = AC = x units, we get:

MN = (1/2)BC = x/2,ML = (1/2)AC = x/2, andNL = (1/2)AB = x/2.


Thus, the triangle LMN is an equilateral triangle.

Thus, MN = ML = NL.

Given MN = 3, we can write the value of ML = 3.

Thus, the value of ML = 3, using the mid-point theorem of triangles.

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The given question is in Spanish. The question in English is:

"Triangle ABC is equilateral and L, M, and N are the midpoints of BC, AB, and CA respectively. If MN = 3, what is the value of ML?"

Add the following polynomials, then place the answer in the proper location on the grid. write the answer in descending powers of x. 2x^3+4x-6 3x^3-8x+7

Answers

The addition of the polynomials [tex]2x^3+4x-6[/tex] and [tex]3x^3-8x+7[/tex] in the proper location on the grid is [tex]5x^3-4x+1[/tex]

How to find the addition of two polynomials is proper location on the grid ?

Polynomials addition in proper location means add the coefficient of same power of variable

So the addition of polynomials like this

[tex]2x^3+4x-6+3x^3-8x+7[/tex]

[tex]2x^3+3x^3=5x^3\\4x-8x=-4x\\-6+7=1[/tex]

The addition of the polynomials is [tex]2x^3+4x-6+ 3x^3-8x+7=5x^3-4x+1[/tex]

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Select the correct answer from each drop-down menu.
Given: line AB ||line DC and DF_~BF
Prove: DFC _~BFA

Answers

Angles are formed when two or more lines intersect. Angles are majorly measured in degrees.

The required proof is as shown below:

Whenever a transversal passes through two parallel lines, angles are formed which have some similar properties.

             STATEMENTS                                           REASONS

1. AB ║DC                                                          Given.

2. < FDC ≅ < FBA                                              Alternate angle theorem.

3. <AFB  ≅ < DFC                                              Vertical opposite angle rule.

4. DF ≅ BF                                                         Given

5. ΔDFC  ≅ Δ BFA                                            Angle-Angle-Side property

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a typist can type 495 words in 15 minutes. How many words can she type in 25 minutes?

Answers

Answer:

They can type 825 words in 25 minutes.

Step-by-step explanation:

First, we need to find how many words they can type per minute. To do that, we need to divide 495 by 15.

[tex]495 \div 15 = 33[/tex]

Now, we know how many words per minute, and the question is how many words they can type in 25 minutes. So to find our answer, we need to multiply 33 by 25, since 33 is how many words in one minute.

[tex]33 \times 25=825[/tex]

So now we know our answer: 825 words in 25 minutes.

Your professor selects three students from your Stats class to form a study team. How many study teams are possible from a class of 30 students

Answers

Total number of teams are 10

Linear Equation

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation is one that includes a variable, such as x.

As given in the problem,

total number of students in class=30

now professor want to create study teams .

one team consist of 3 members,

lets suppose professor will form n teams

So,

3×n=30

solve this equation to get value of n

n=30÷3

n=10 teams

hence total number of teams are 10 .

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Which digit in 125 734 016 has a value of 20 000 000?

Answers

Step-by-step explanation:

in a number like 125,734,016

the right most position has the weight 10⁰ = 1

so, 6×1 = 6.

the second right most position has the weight 10¹ = 10.

so, 1×10 = 10

the third right most position has the weight 10² = 100.

so, 0×100 = 0

the 4th right most position has the weight 10³ = 1000.

so, 4×1000 = 4,000

the 5th right most position has the weight 10⁴ = 10000.

so, 3×10000 = 30,000

the 6th right most position has the weight 10⁵ = 100000.

so, 7×100000 = 700,000

the 7th right most position has the weight 10⁶ = 1000000.

so, 5×1000000 = 5,000,000

the 8th right most position has the weight 10⁷ = 10000000

so, 2×10000000 = 20,000,000

and so on.

as we can see, the 2 (the 8th most position from the right or the second position from the left) has the value of 20,000,000.

The digit 2 has a value of 20,000,000. Why? Well, see below!

This is a basic place value problem! The digit closest to the right is the ones place, the one to the left of the ones place is the tens place, the one to the left of the tens place is the hundreds place. These intervals are continuous but in the form of thousands, millions, billions, trillions, and many larger numbers that follow. In this problem, here’s the place value for each number:

Value of 6: 6
Value of 1 (to the left of 6): 10
Value of 0: 0 (typically this would represent hundreds but because 0 means absence of or none, the value is 0)
Value of 4: 4,000
Value of 3: 30,000
Value of 7: 700,000
Value of 5: 5,000,000
Value of 2: 20,000,000
Value of 1 (to the left of 2): 100,000,000

Because the digit 2 that this question is referring to is in the ten millions place, we can identify that this value equals 20,000,000 by considering the following equation:

2 x 10,000,000 = 20,000,000

Therefore, the digit in 125,734,016 that has a value of 20,000,000 is the digit 2 that is farthest to the left of the number. If you need extra help to understand this, let me know and I will gladly assist you.

There are 752 cal in 8 ounces of a certain ice cream how many calories are there in 2 pounds

Answers

So, 8 ounces is equivalent to .5 pounds. Therefore, 32 ounces is equivalent to 2 pounds. Or, there are 4 8ounce measurements to get to 2 pounds.

752 calories * 4 = 3008 calories in 2 pounds of ice cream.

Alcohol is a major contributor to high percentages of academic problems and college dropouts. question: alcohol is a major contributor to high percentages of academic problems and college dropouts. true false not sure increasing alcohol consumption lowers gpas. question: increasing alcohol consumption lowers gpas. true false not sure students who drink more heavily miss classes at the same rate as other students. question: students who drink more heavily miss classes at the same rate as other students. true false not sure students who drink more study less. question: students who drink more study less. true false not sure students with a 2.0 gpa (c) consume twice as many drinks on average than students with a 4.0 gpa (a).

Answers

The correct decision for the statements are

True--->Alcohol is a major contributor to high percentages of academic problems and college dropouts. True--->Increasing alcohol consumption lower GPAs. False--->Students who drink more heavily miss classes at the same rate as other students.True----> Students who drink more study less. False----> Students with a 2.0 GPA (C) consume twice as many drinks on average than students with a 4.0 GPA (A).

This is further explained below.

What is Alcohol?

Generally, alcohol is a colorless liquid that is volatile and combustible. It is created during the natural fermentation of carbohydrates and is the component that gives wine, beer, spirits, and other beverages their intoxicating properties. Additionally, alcohol is utilized as an industrial solvent and as fuel.

In conclusion, The appropriate response for each of the statements is

Alcohol is a significant factor in the large percentage of students who struggle academically and drop out of college, which is true. It's true that drinking more alcohol brings a drop in GPA. Students who consume more alcohol miss the same number of courses as students who consume less alcohol. This statement is false. Students who drink more spend less time studying, which is true. Students with a grade point average of 2.0 (C) drink on average two times as much alcohol as students with a grade point average of 4.0 (A) (A).

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